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Finding the Fourth Proportional to 17,871.24, 24,663.78 and 9,916.02

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Solution

The fourth proportional to 17,871.24, 24,663.78 and 9,916.02 is: 13,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.24 : 24,663.78 = 9,916.02 : x
  2. Step 2: Convert to fraction form
    17,871.24/24,663.78 = 9,916.02/x
  3. Step 3: Cross multiply
    17,871.24x = 24,663.78 × 9,916.02
  4. Step 4: Simplify right side
    17,871.24x = 244,566,535.76
  5. Step 5: Solve for x
    x = 244,566,535.76/17,871.24
  6. Step 6: Final answer
    x = 13,684.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.